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Model and empirical study on some collaboration networks

Author

Listed:
  • Zhang, Pei-Pei
  • Kan Chen,
  • He, Yue
  • Zhou, Tao
  • Su, Bei-Bei
  • Jin, Yingdi
  • Chang, Hui
  • Zhou, Yue-Ping
  • Sun, Li-Cheng
  • Wang, Bing-Hong
  • He, Da-Ren

Abstract

In this paper we present an empirical study of a few practical systems described by cooperation networks, and propose a model to understand the results obtained. We study four non-social systems, which are the Bus Route Networks of Beijing and Yangzhou, the Travel Route Network of China, Huai-Yang recipes of Chinese cooked food, and a social system, which is the Collaboration Network of Hollywood Actors. In order to explain the results related to the degree distribution, act-degree distribution and act-size distribution (especially about the degree distribution, which may be better fitted using a stretched exponential distribution (SED)), we suggest a simple model to show a possible evolutionary mechanism for the emergence of such networks. The analytic and numerical results obtained from the model are in good agreement with the empirical results.

Suggested Citation

  • Zhang, Pei-Pei & Kan Chen, & He, Yue & Zhou, Tao & Su, Bei-Bei & Jin, Yingdi & Chang, Hui & Zhou, Yue-Ping & Sun, Li-Cheng & Wang, Bing-Hong & He, Da-Ren, 2006. "Model and empirical study on some collaboration networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 599-616.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:599-616
    DOI: 10.1016/j.physa.2005.05.044
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    Cited by:

    1. Qiao, Jian & Meng, Ying-Ying & Chen, Hsinchun & Huang, Hong-Qiao & Li, Guo-Ying, 2016. "Modeling one-mode projection of bipartite networks by tagging vertex information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 270-279.
    2. Zhang, Xiaolei & Ren, Yibin & Huang, Baoxiang & Han, Yong, 2018. "Analysis of time-varying characteristics of bus weighted complex network in Qingdao based on boarding passenger volume," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 376-394.
    3. Shuaiming Chen & Ximing Ji & Haipeng Shao, 2024. "Revealing the Community Structure of Urban Bus Networks: a Multi-view Graph Learning Approach," Networks and Spatial Economics, Springer, vol. 24(3), pages 589-619, September.
    4. Zhao, Laijun & Wang, Jiajia & Huang, Rongbing & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli, 2014. "Sentiment contagion in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 17-23.
    5. Roth, Camille, 2007. "Empiricism for descriptive social network models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(1), pages 53-58.
    6. Wei Quan & Philippe Mongeon & Maxime Sainte-Marie & Rongying Zhao & Vincent Larivière, 2019. "On the development of China’s leadership in international collaborations," Scientometrics, Springer;Akadémiai Kiadó, vol. 120(2), pages 707-721, August.
    7. Xu, Xiu-Lian & Fu, Chun-Hua & Chang, Hui & He, Da-Ren, 2011. "An evolution model of complex systems with simultaneous cooperation and competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3719-3726.
    8. Hu, Zhibin & Wu, Guangdong & Han, Yilong & Niu, Yanliang, 2023. "Unraveling the dynamic changes of high-speed rail network with urban development: Evidence from China," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    9. Hu, Baoyu & Feng, Shumin & Nie, Cen, 2017. "Bus transport network of Shenyang considering competitive and cooperative relationship," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 259-268.
    10. Chang, Hui & Xu, Xiu-Lian & Hu, Chin-Kun & Fu, Chunhua & Feng, Ai-xia & He, Da-Ren, 2014. "A manipulator game model of urban public traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 378-385.
    11. Yan, Deng-Cheng & Li, Ming & Wang, Bing-Hong, 2017. "Dependence centrality similarity: Measuring the diversity of profession levels of interests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 118-127.
    12. Feng, Ai-Xia & Fu, Chun-Hua & Xu, Xiu-Lian & Zhou, Yue-Ping & Chang, Hui & Wang, Jian & He, Da-Ren & Feng, Guo-Lin, 2012. "An extended clique degree distribution and its heterogeneity in cooperation–competition networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2454-2462.
    13. Zhong, Wanxing & Kong, Rui & Chen, Guang, 2019. "Gold prices fluctuation of co-movement forecast between China and Russia," Resources Policy, Elsevier, vol. 62(C), pages 218-230.

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